This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A294464 #18 Jan 21 2025 13:32:49 %S A294464 1,1,2,12,36,300,2520,20160,75600,2192400,30996000,276091200, %T A294464 2165486400,19070251200,968042275200,41954552640000,190974944160000, %U A294464 230641066656000,95607669148992000,-2052972258809472000,22839078791168640000,5074390517301705600000 %N A294464 Expansion of e.g.f. Product_{k>0} (1+k*x^k)^(1/k). %F A294464 E.g.f.: exp(Sum_{k>=1} Sum_{j>=1} (-1)^(k+1)*j^(k-1)*x^(j*k)/k). - _Ilya Gutkovskiy_, May 28 2018 %F A294464 a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} A076717(k)*a(n-k)/(n-k)! for n > 0. - _Seiichi Manyama_, Jan 21 2025 %o A294464 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(prod(k=1, N, (1+k*x^k)^(1/k)))) %Y A294464 Cf. A022629, A076717, A168243, A294462. %K A294464 sign %O A294464 0,3 %A A294464 _Seiichi Manyama_, Oct 31 2017